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Results (7 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
959.1.d.a	$959$	$1$	959.d	959.d	$2$	$1$	$1$	$0.479$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-959}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}+q^{7}+q^{8}+\cdots\)
959.1.d.b	$959$	$1$	959.d	959.d	$2$	$1$	$1$	$0.479$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-959}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(1\)	$1$		\(q-q^{2}+q^{3}+q^{5}-q^{6}+q^{7}+q^{8}+\cdots\)
959.1.d.c	$959$	$1$	959.d	959.d	$2$	$1$	$1$	$0.479$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-959}) \)	\(\Q(\sqrt{137}) \)	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+2q^{2}+3q^{4}-q^{7}+4q^{8}-q^{9}-2q^{11}+\cdots\)
959.1.d.d	$959$	$1$	959.d	959.d	$2$	$2$	$2$	$0.479$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-959}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{2}-\beta q^{3}+\beta q^{5}+\beta q^{6}-q^{7}+q^{8}+\cdots\)
959.1.d.e	$959$	$1$	959.d	959.d	$2$	$3$	$3$	$0.479$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-959}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q-\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
959.1.d.f	$959$	$1$	959.d	959.d	$2$	$3$	$3$	$0.479$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-959}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
959.1.d.g	$959$	$1$	959.d	959.d	$2$	$6$	$6$	$0.479$	\(\Q(\zeta_{36})^+\)	$D_{18}$	\(\Q(\sqrt{-959}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)	$1$		\(q-\beta _{4}q^{2}-\beta _{1}q^{3}+(1-\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)